Multifractal information production of the human genome

We determine the Renyi entropies K(q) of symbol sequences generated by human chromosomes. These exhibit non-trivial behaviour as a function of the scanning parameter q. In the thermodynamic formalism, there are phase-transition-like phenomena close to the q = 1 region. We develop a theoretical model for this based on the superposition of two multifractal sets, which can be associated with the different statistical properties of coding and non-coding DNA sequences. This model is in good agreement with the human chromosome data. Copyright (C) EPLA, 2011